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The radiocarbon dating designation of "cal BP" is an archaeological term that signifies that the date has been corrected by available tree ring. Cologne Radiocarbon Calibration & Paleoclimate Research Package. The lucky ones will begin the hellish dating cycle of text analysis, late-night hangouts, “what are we” conversations and the eventual “defining.
A third possibility is that the curve is flat for some range of calendar dates; in this case, illustrated by t3, in green on the cal dating, a range of about 30 radiocarbon years, from BP to BP, cal datings in a calendar year range of about a century, from BP to BP. However, this method does not make use of the assumption that the original radiocarbon age range is a normally distributed variable: not all dates in the radiocarbon age range are equally likely, and so not all dates in the resulting calendar year age are equally likely.
Deriving a calendar year range by means of intercepts does not take this into account. This has to be done by numerical methods rather than by a formula because the calibration curve is not describable as a formula. These can be accessed online; they allow the user to enter a date range at one standard deviation confidence for the radiocarbon ages, select a calibration curve, and produce probabilistic output both as tabular data and in graphical form.
The curve selected is the northern hemisphere INTCAL13 curve, part of which is shown in the output; the vertical width of the curve corresponds to the width of the standard error in the calibration curve at that point. The resulting curve can then be matched to the actual calibration curve by identifying where, in the range suggested by the radiocarbon dates, the wiggles in the calibration curve best match the wiggles in the curve of sample dates.
This "wiggle-matching" technique can lead to more precise dating than is possible with individual radiocarbon dates.